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1022241054540 = 2235432017196439
BaseRepresentation
bin11101110000000100101…
…00001001111101001100
310121201120201220001121210
432320002110021331030
5113222022202221130
62101335553254420
7133566041411436
oct16700224117514
93551521801553
101022241054540
11364591475402
1214614a564410
137552104a644
1437696215656
151b8ce10d5b0
hexee02509f4c

1022241054540 has 96 divisors (see below), whose sum is σ = 2930306480640. Its totient is φ = 266124773376.

The previous prime is 1022241054521. The next prime is 1022241054547. The reversal of 1022241054540 is 454501422201.

It is a super-2 number, since 2×10222410545402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1022241054498 and 1022241054507.

It is not an unprimeable number, because it can be changed into a prime (1022241054547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5105641 + ... + 5302079.

It is an arithmetic number, because the mean of its divisors is an integer number (30524025840).

Almost surely, 21022241054540 is an apocalyptic number.

1022241054540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022241054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465153240320).

1022241054540 is an abundant number, since it is smaller than the sum of its proper divisors (1908065426100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022241054540 is a wasteful number, since it uses less digits than its factorization.

1022241054540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198511 (or 198509 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1022241054540 its reverse (454501422201), we get a palindrome (1476742476741).

The spelling of 1022241054540 in words is "one trillion, twenty-two billion, two hundred forty-one million, fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2017 2580 4034 6051 8068 10085 12102 20170 24204 30255 40340 60510 86731 121020 173462 196439 260193 346924 392878 433655 520386 589317 785756 867310 982195 1040772 1178634 1300965 1734620 1964390 2357268 2601930 2946585 3928780 5203860 5893170 8446877 11786340 16893754 25340631 33787508 42234385 50681262 84468770 101362524 126703155 168937540 253406310 396217463 506812620 792434926 1188652389 1584869852 1981087315 2377304778 3962174630 4754609556 5943261945 7924349260 11886523890 17037350909 23773047780 34074701818 51112052727 68149403636 85186754545 102224105454 170373509090 204448210908 255560263635 340747018180 511120527270 1022241054540